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Mashutka [201]
3 years ago
14

A motel clerk counts his​ $1 and​ $10 bills at the end of the day. He finds that he has a total of 53 bills having a combined mo

netary value of ​$215. Find the number of bills of each denomination that he has.
Mathematics
1 answer:
dmitriy555 [2]3 years ago
6 0

Answer:

35 one-dollar bills

18 ten dollar bills

Step-by-step explanation:

We can solve this problem by using logic. First we have to understand that if all the 53 bill were $10 bills, then the combined monetary value would be...

53 x $10 = 530$

Now we start to replace the $10 bills with 1$ and each time we replace 1 bill, the combined monetary value will decrease by...

$10 - $1 = $9

We also know that we need to decrease the combined monetary value all the way to $215, which mean there has to be...

(530 - 215) / 9 = 35 one dollar bills.

And now since we know there are 35 one-dollar bills, that means there has to be...

53 - 35 = 18 ten dollar bills

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